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Finding the Fourth Proportional to 897.51, 1,238.43 and 548.13

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Solution

The fourth proportional to 897.51, 1,238.43 and 548.13 is: 756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.51 : 1,238.43 = 548.13 : x
  2. Step 2: Convert to fraction form
    897.51/1,238.43 = 548.13/x
  3. Step 3: Cross multiply
    897.51x = 1,238.43 × 548.13
  4. Step 4: Simplify right side
    897.51x = 678,820.64
  5. Step 5: Solve for x
    x = 678,820.64/897.51
  6. Step 6: Final answer
    x = 756.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.